Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 253, Issue 12, Pages 3440-3470Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2012.08.031
Keywords
Reaction-diffusion; Non local delay effect; Hopf bifurcation; Stability
Categories
Funding
- China Scholarship Council
- NSF [DMS-1022648]
- Shanxi 100-talent program
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1022648] Funding Source: National Science Foundation
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A reaction-diffusion model with logistic type growth, nonlocal delay effect and Dirichlet boundary condition is considered, and combined effect of the time delay and nonlocal spatial dispersal provides a more realistic way of modeling the complex spatiotemporal behavior. The stability of the positive spatially nonhomogeneous positive equilibrium and associated Hopf bifurcation are investigated for the case of near equilibrium bifurcation point and the case of spatially homogeneous dispersal kernel. (C) 2012 Elsevier Inc. All rights reserved.
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